An efficient approximation method for delay-rational model of multiconductor transmission line

Xin Chen, Q. Tang, M. Tong
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Abstract

In this paper, a new algorithm for the generation of the approximate poles and residues of multiconductor transmission lines characterized by frequency-dependent per-unit-length parameters is presented. Based on the Green's function-based delay-rational model for lossy transmission lines, which performs a reduced number of rational functions for the open-end impedance matrix, the proposed algorithm is more efficient by performing the poles and residues approximation comparing with solving high order equation. And the frequency response and transient analysis results have been considered when compared to the delay-rational model calculated. The results show that the proposed method can achieve an over seventy percent speed-up while keeping a good accuracy.
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多导体传输线延迟合理模型的一种有效逼近方法
本文提出了一种以频率相关的单位长度参数为特征的多导体传输线的近似极点和残数生成的新算法。基于格林函数的有耗传输线延迟有理模型,该模型减少了开放端阻抗矩阵的有理函数数量,该算法通过极点和残数逼近比求解高阶方程更有效。并将频率响应和暂态分析结果与计算的时滞理性模型进行了比较。结果表明,该方法在保持较好的精度的同时,可以实现70%以上的加速。
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